Answer:
16 cups
Step-by-step explanation:
Answer:
(x + 5)^2 = (5 - 3)^2
Step-by-step explanation:
Given the equation;
x^2 + 10x + 22 = 13
We have;
x^2 + 10x = 13 - 22
x^2 + 10x = -9
Adding half of 10 to both sides and completing the square as usual, we have;
(x + 5)^2 = 5^2 + (-9)
(x + 5)^2 = (5 - 3)^2
Answer:
<M = 78°
Step-by-step explanation:
The sum of angles in a kite is 360°.
One of the properties of a kite is that one pair of opposite angles are equal.
Since it is not <L and <N, it must be <O and <M
Therefore:
<O = <M = x
=> x + x + 130 + 74 = 360
2x + 204 = 360
2x = 360 - 204
2x = 156
x = 156/2 = 78°
This means that <M = 78°
Answer:
Solving 
we get 
Step-by-step explanation:
We need to find solution of
Solving the inequality:
Multiply 6 with terms inside the bracket
Subtracting 12 on both sides
Adding 4x on both sides
Divide both sides by -2 and the inequality will be reversed i.e < will be changes to >
So, after solving we get
71) The triangle is isos. so the base angles are congruent
2a+b=5b-3a
5a=4b
The angles of a triangle all add up to 180
180=5a -2b + 2a +b + 5b -3a
180=4a+4b
Substitute 4b with 5a
180=4a+5a
180=9a
a=20
And substitute a into the equation: 5a=4b to solve for b and solve for the measurements of the angles
72) Angles that are supplementary add up to 180
8(y-x)+124=180
9x-2y+124=180
8x-8y=56
(9x-2y=56)4
Use elimination to solve for the variables
8x-8y=56
-(36x-8y=224)
-28x=-168
x=48
Substitute x into the other equation to solve for y and find the measurements of the angles
